Indian Journal of Physics

, Volume 93, Issue 4, pp 523–528 | Cite as

Confinement effect and masses of light-heavy mesons in finite extra dimension

  • Jugal LahkarEmail author
  • D. K. Choudhury
Original Paper


We obtain the wave function of light-heavy mesons considering only linear confinement potential in finite extra dimension. Specifically, we consider one finite extra dimension and calculate the masses of few light-heavy mesons. Our analysis suggests that a model of mesons with pure confinement potential having one finite extra dimension of size \(L\le 10^{-7}\,{\mathrm{{GeV}}}^{-1}\) is compatible with the present experimental data of light-heavy mesons.


Compact extra dimension QCD Mesons 


03.65.Ge 12.39.Pn 14.40.n 



One of the authors (D.K. Choudhury) thanks Prof. Mike Tepper, Rudolf Peirels Center of Theoretical Physics, University of Oxford, for the useful discussions, while the other (Jugal Lahkar) acknowledges the financial support of CSIR (New Delhi, India) in terms of fellowship under Net-Jrf scheme to pursue research work at Gauhati University, Department of Physics. We also thank Dr. N.S. Bordoloi of Cotton university, Guwahati, Assam, India, DR. B.J. Hazarika of Pandu college, Guwahati, Assam, India, and Dr. S. Roy of Karimganj College, Karimganj, Assam, India, for useful discussions.


  1. [1]
    T Kaluza Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) K1 966 (1921)Google Scholar
  2. [2]
    O Klein Z. Phys. 37 895 (1926)Google Scholar
  3. [3]
    N Arkani Hamed, S Dimopolous, G Dvali Phys. Lett. B 429 263 (1998)Google Scholar
  4. [4]
    L Randall, R Sundrum PRL 83 17 (1999)Google Scholar
  5. [5]
    I Antoniadis Phys. Lett. B. 246 377 (1990)ADSMathSciNetCrossRefGoogle Scholar
  6. [6]
    T Appelquist, H-C Cheng, B A Dobrescu Phys. Rev. D 64 035002 (2001)ADSCrossRefGoogle Scholar
  7. [7]
    S Roy, D K Choudhury Can. J. Phys. 94 1282 (2016). ADSCrossRefGoogle Scholar
  8. [8]
    M Bures, P Seigl Ann. Phys. 354 316–327 (2015)ADSCrossRefGoogle Scholar
  9. [9]
    H Tezuka J. Phys. A 24 22 (1991)CrossRefGoogle Scholar
  10. [10]
    E G Florates, G K Leonteries Phys. Rev. Lett. B465 95 (1999)Google Scholar
  11. [11]
    V Zhuravlov Limits on the Size of Extra Dimension, Particle Physics and Cosmology: Second Tropical Workshop, cp540, AIP, I-56396-965-3/00Google Scholar
  12. [12]
    E Eichten et al. Phys. Rev. D21 203 (1980)Google Scholar
  13. [13]
    J F Arvis Phys. Lett. B127 106 (1983)ADSCrossRefGoogle Scholar
  14. [14]
    S H Dong Wave equation in higher dimension (Berlin: Springer) ISBN-978-94-007-1916-3 (2011)Google Scholar
  15. [15]
    S Roy and D K Choudhury Phys. Scr. 87 065101 (2013)Google Scholar
  16. [16]
    P J Olvr and C Shakiban Applied Mathematics (New York: Wiley) (2004)Google Scholar
  17. [17]
    M Abramowitz and I Stegun Handbook of Mathematical Functions (US: National Bureau of Standards) (1964)zbMATHGoogle Scholar
  18. [18]
    S Roy, N S B and D K Choudhury Can. J. Phys. 91, 34–42 (2013)Google Scholar
  19. [19]
    S Roy and D K Choudhury Phys. Scr. 86 045101 (2012)Google Scholar
  20. [20]
    R L Hall and N Saad (DE GRUYTER OPEN) Open Phys. 13 83–89 (2005)Google Scholar
  21. [21]
    A K Rai, B Patel and P C Vinodkumar Phys. Rev. C78 P055202 (2008)Google Scholar
  22. [22]
    K K Pathak and D K Choudhury Pramanna J. Phys. 79 1385 (2012)ADSCrossRefGoogle Scholar
  23. [23]
    G R Khan Eur. J. Phys. D53 123 (2009)ADSGoogle Scholar
  24. [24]
    M Luscher et al. Nucl. Phys. B180 1 (1981)Google Scholar
  25. [25]
    D Griffiths Introduction to Elementary Particles (New York: Wiley) p 158 (1987)CrossRefGoogle Scholar
  26. [26]
    K K Pathak and D K Choudhury Chin. Phys. Lett. 28(10) 101201 (2011)Google Scholar
  27. [27]
    Quigg C, Rosner JL Phys. Rep. 56 167 (1979)ADSMathSciNetCrossRefGoogle Scholar
  28. [28]
    T Das, D K Choudhury, K K Pathak Int. J Mod. Phys. A31 1650189 (2016)Google Scholar
  29. [29]
    C Patrignani and Particle Data Group Chin. Phys. C 40 100001 (2016)Google Scholar

Copyright information

© Indian Association for the Cultivation of Science 2018

Authors and Affiliations

  1. 1.Department of PhysicsGauhati UniversityGuwahatiIndia
  2. 2.Center of Theoretical StudiesPandu CollegeGuwahatiIndia

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